Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 35P

(a)

To determine

Find the equilibrium ratio of population states of E4* and E3 for the red transmission.

(b)

To determine

The temperature at which Boltzmann distribution describes 2.00% population inversion.

(c)

To determine

The reason for population inversion cannot takes place at thermal equilibrium.

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The number N of atoms in a particular state is called the population of that state. This number depends on the energy of that state and the temperature. In thermal equilibrium,the population of atoms in a state of energy En is given by a Boltzmann distribution expression                                   N = Nge-(En-Eg)/kBTwhere Ng is the population of the ground state of energy Eg , kB is Boltzmann’s constant, and T is the absolute temperature. For simplicity, assume each energy level has only one quantum state associated with it. (a) Before the power is switched on, the neon atoms in a laser are in thermal equilibrium at 27.0°C. Find the equilibrium ratio of the populationsof the states E4* and E3 shown for the red transition in the figure. Lasers operate by a clever artificial production of a “population inversion” between the upper and lower atomic energy states involved in the lasing transition. This term means that more atoms are in the upper excitedstate than in the lower one.…
Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP  b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?
The equation for the ideal gas is (P – a/V2) (V-b) = K. Here P is the pressure, V is the volume of the gas. If a and b are constants, what is the the units of a/b.
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